1. Problems on Solid Mensuration

1. What is the weight of a block of ice 24 in. by 24 in. by 24 in., if the ice weighs 92% as much as water, and water weighs 62.5 lb per cu. ft?

2. Find the area of a triangle whose vertex is at the midpoint of an upper edge of a cube of edge A and whose base coincides with the diagonally opposite edge of of a cube.

3. A vegetable bin built in the form of a cube with an edge of 6ft. is divided by a vertical partition which passes through two diagonally opposite edges. Find the lateral surface of either compartment.

I've already answered some of the problems. But I found this three questions as very confusing, so I hope that I can ask for some help in here..

thaks..

2. Originally Posted by Grim05

1. What is the weight of a block of ice 24 in. by 24 in. by 24 in., if the ice weighs 92% as much as water, and water weighs 62.5 lb per cu. ft?
12"=1ft so you have a 2x2x2 ft cube and you know its volume in cubic feet.

If ice has a density 92% that of water, the density of ice is 0.92x62.5 pounds (mass) per cubic ft.

Mass is volume times density

CB

3. Originally Posted by Grim05

2. Find the area of a triangle whose vertex is at the midpoint of an upper edge of a cube of edge A and whose base coincides with the diagonally opposite edge of of a cube.
Draw a picture, you will see that the altitude of the triangle is equal to the diagonal of a face of the cube (and you already know the base of the triangle is equal an edge of the cube).

CB

4. Originally Posted by Grim05
3. A vegetable bin built in the form of a cube with an edge of 6ft. is divided by a vertical partition which passes through two diagonally opposite edges. Find the lateral surface of either compartment.
Draw a picture. It seems a compartment has the form of a right triangular prism with the triangular base being a right triangle with two sides equal to the sides of the bin.

CB

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triangle problems in solid mensuration

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